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Arborists use a test to detect the presence of a certain pathogen in fruit trees. The test gives a positive result 96% of the time if a tree has a disease, and it is 97% accurate for trees that do not have the disease.

What is the probability of getting a false-positive result (that is, the tree tests positive for the pathogen but does not actually have the disease)?

Sagot :

Answer:

0.03

Step-by-step explanation:

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The probability of getting a false-positive result is 0.03 if Arborists use a test to detect the presence of a certain pathogen in fruit trees option (D) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Arborists use a test to detect the presence of a certain pathogen in fruit trees.

The probability that the tree has a disease = 96%

Or

The probability when the tree has a disease = 0.96

The probability when the tree does not have a disease = 97%

Or

The probability when the tree does not have a disease = 0.97

Probability of getting a false-positive result = 1 - 0.97

Probability of getting a false-positive result = 0.03

Thus, the probability of getting a false-positive result is 0.03 if Arborists use a test to detect the presence of a certain pathogen in fruit trees option (D) is correct.

Learn more about the probability here:

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